The mnemonic SOH CAH TOA reminds you of the relationships between sides and angles in a right triangle. Using the attached figure, it is convenient to find the length of BE as an intermediate step in the solution.

Sin = Opposite/Hypotenuse

sin(30°) = BE/100

BE = 100·sin(30°)

Then ...

Tan = Opposite/Adjacent

tan(58°) = BE/x

x = BE/tan(58°) = 100·sin(30°)/tan(58°)

x ≈ 31.243 . . . . units

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<em>Comment on the figure</em>

The intermediate problem in creating the figure was to locate point D. That was accomplished by locating point C on a line at an angle of 58° CCW from the horizontal, using point B as a center. Then D is the intersection of BC with the x-axis. BE is drawn perpendicular to the x-axis.

5 0

2 years ago

A jar contains, cardinal and

natulia [17]

Answer:

Step-by-step explanation:

ince the only colors are white, green, yellow, red, and purple, we can see that NOT getting red or purple is the same as GETTING white, green or yellow

So, P(NOT getting red or purple) = P(GETTING white, green or yellow)

There are 60 jellybeans in total.

Number of jellybeans that are white, green or yellow = 22 + 18 + 11 = 51

So, P(GETTING white, green or yellow) = 51/60

= 17/20

= 0.85

Answer: D

4 0

3 years ago

A rectangular prism has a surface area of 8 square feet. A similar rectangular prism has a surface area of 200 square feet. How

natita [175]

It would be 25 how I got that answer was I did 200 ÷ 8 and that gave me 25

7 0

2 years ago

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